Atkin-Lehner |
2+ 3- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
28314z |
Isogeny class |
Conductor |
28314 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
86400 |
Modular degree for the optimal curve |
Δ |
-16251832921896 = -1 · 23 · 36 · 118 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 1 -1 11- 13- -1 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-36504,2700616] |
[a1,a2,a3,a4,a6] |
j |
-4165509529/12584 |
j-invariant |
L |
1.3973493789652 |
L(r)(E,1)/r! |
Ω |
0.69867468948317 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3146p1 2574w1 |
Quadratic twists by: -3 -11 |